SOLUTION: Solve: 4x-7y=3 y=3-2x

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Question 103410: Solve:
4x-7y=3
y=3-2x

Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
When you say just solve, I'm not sure which way. There are different ways to solve an equation. I will go ahead and solve by substitution, if you do not think it is the right way, let me know.
Solve:
4x-7y=3
y=3-2x
We will substitute in the first equation the y=3-2x for your y;
4x-7(3-2x)=3
4x-21+14x=3
collect like terms and add 21 to each side;
18x=3+21
18x=24
divide both sides by 18;
x=24%2F18
Now we will plug that answer in the equation for x(you can choose either equation);
y=3-2%2824%2F18%29
y=3-%2848%2F18%29
y=%2854%2F18%29-%2848%2F18%29
y=%286%2F18%29=%281%2F3%29
check;
4%2824%2F18%29-7%281%2F3%29=3
%2896%2F18%29-7%2F3%29=3
%2896%2F18%29-%2842%2F18%29=3
%2854%2F17%29=3
3=3
:)